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3 years ago

5.

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that $x + y = 57$ , and since we want the number of children y, $x = 57 - y$

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

$22x + 10y = 774$

Since $x = 57 - y$

$22(57 - y) + 10y = 774$

$1254 - 22y + 10y = 774$

$12y = 480$

$y = \frac{480}{12}$

$y = 40$

40 children went on the cruise.

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Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock h, in feet, after t s

fomenos

Answer: It will take 4 seconds for the rock to hit the water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock h, in feet, after t seconds is given by the equation

$h = -16 t^2+ 52 t + 48$

To find : Time taken for the rock to hit the water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

$-16 t^2+ 52 t + 48 =0$

Divide equation by 2 , we get

$-8t^2+26t+24=0$

The Laue of x for ax²+bx+c =0 is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

So , $t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}$

$t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4$

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds for the rock to hit the water.

5 0

3 years ago

I need help please help me

Mrrafil [7]

Answer:

$y=\dfrac{1}{36}x^2$

Step-by-step explanation:

Where p is the distance from focus to vertex, the equation of the parabola with focus at (0, p) is ...

$y=\dfrac{1}{4p}x^2$

Your parabola has p=9, so the equation is ...

$y=\dfrac{1}{4\cdot 9}x^2=\bf{\dfrac{1}{36}x^2}$

3 0

3 years ago

A motor boat and a raft start traveling downstream. After 1 hour, the boat turns around and travels back until it reaches the ra

Minchanka [31]

Answer:

Speed of the current is 3 miles per hour.

Step-by-step explanation:

Raft and a motor boat starts traveling downstream at the same time from point B towards point A downstream.

Let the speed of the motorboat = v miles per hour

and speed of the current = u miles per hour

Motorboat travels downstream with the speed = (v + u) miles per hour

Distance traveled by motorboat in 1 hour (Distance AC) = (v + u)×1 miles

Now motorboat turns around and reaches point B where it meats the raft against the river stream.

Speed of motorboat against the current = (v - u) miles per hour

Let it takes to reach at point B = t hours

Distance covered AB = (v - u)t miles

From the figure attached,

Distance BC = AC - AB

6 = (v + u) - (v - u)t ------(1)

Now raft covered the distance 6 miles in (1 + t) hours with the speed = u miles per hour.

Equation will be u(t + 1) = 6 --------(2)

Now by equating both the equations

(v + u) - (v - u)t = u(t + 1)

v + u - vt + ut = ut + u

v - vt = 0

vt = v

t = 1 hours

From equation (2)

u(1 + 1) = 6

2u = 6

u = 3 miles per hour.

Therefore, speed of the current will be 3 miles per hour.

5 0

3 years ago

How do you express the fraction 2/9 as a decimal?

Brut [27]

You divide 2 by 9 which is .2222--- or .2 if you round it to the nearest tenths.
Whenever you want to change a fraction to a decimal, you divide the numerator by the denominator.

4 0

4 years ago

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WILL MARK BRAINLIEST PLEASE HELP ASAP !!! Roberto is paid $11 an hour at his new job He wishes to graph his total pay T, as a fu

Oliga [24]

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 11, and the h-axis of his graph should go from 0 to at least 40.

Apologies for any incorrect answer, hope this helped.

7 0

4 years ago

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